Final answer:
The nth term of the arithmetic sequence 0, 600, 1200, 1800, 2400 is given by the formula 600(n - 1).
Step-by-step explanation:
The question asks to find the nth term of the given sequence: 0, 600, 1200, 1800, 2400. To determine the nth term, we need to identify the pattern of the sequence. It is apparent that each term is increasing by 600. This is an arithmetic sequence where the first term (a1) is 0, and the common difference (d) is 600. The formula to find the nth term of an arithmetic sequence is an = a1 + (n - 1)d.
Applying this formula, we get:
an = 0 + (n - 1) × 600
an = 600(n - 1)
Therefore, the nth term is 600(n - 1).
The given sequence is 0, 600, 1200, 1800, 2400. To determine its nᵗʰ term, we can observe that the terms are increasing by 600 each time. This means that the common difference between consecutive terms is 600. Using this information, we can write the formula for the nᵗʰ term of the sequence as:
nᵗʰ term = 600 * (n - 1)
For example, when n = 1, the first term is 600 * (1 - 1) = 600 * 0 = 0. When n = 2, the second term is 600 * (2 - 1) = 600 * 1 = 600. And so on.